Group GAP4(128,1799)
Name: (C2 x (C4 . D8 = C4 . (C4 x C2))) : C2
Maximal quotient:GAP4(64,203)
Real polynomial:
x^128-6720*x^126+20311200*x^124-36832320000*x^122+45123322624800*x^120-39889\
562872320000*x^118+26551366821776160000*x^116-13716181176211987200000*x^114+\
5627174325028390433880000*x^112-1867240499168723793408000000*x^110+508701584\
268080408569392000000*x^108-115211867883331851496771200000000*x^106+21921447\
700308279996417570984000000*x^104-3535515991204133969579842794240000000*x^10\
2+487018723561838633431168382894400000000*x^100-5767131504781463200250329443\
0528000000000*x^98+5903285671082424187454071991209421400000000*x^96-52479640\
4665597744533724210531060800000000000*x^94+406806360035943170426377616114340\
67200000000000*x^92-2759020916813671016996385525909317318400000000000*x^90+1\
64184104950627451759747409651352914857040000000000*x^88-85931336040069140253\
11004441323764376563200000000000*x^86+39634539925373965274123856096474618211\
3584000000000000*x^84-161361164928496168690752702927904340673888000000000000\
00*x^82+580618620983518437420279132598119869023491036000000000000*x^80-18483\
866157501832170641738406708261082076766720000000000000*x^78+5210050039604064\
24292488570129595489764559982400000000000000*x^76-13010159233410557740053187\
206174953813443447488000000000000000*x^74+2879239265245673424217612800057433\
67698178139458400000000000000*x^72-56483039053415551985797167944392101003063\
05408640000000000000000*x^70+98226797844822580024686850438460396662132824793\
440000000000000000*x^68-1514194799221388935156951785297119291721296155180800\
000000000000000*x^66+2068651624315303300314466212012263533106339877929409000\
0000000000000*x^64-250385281075522365661838943990975174065581517148470400000\
000000000000*x^62+2683837892489481032711560115895350911494081337905432000000\
000000000000*x^60-2546165988281313566623720453107747086885056612011264000000\
0000000000000*x^58+213648777115444480937696814720863617975411653543830064000\
000000000000000*x^56-1584295917818025027091196085528612052243950615346003200\
000000000000000000*x^54+1037207622351263946993059559883293166040650766724328\
3200000000000000000000*x^52-598804139042719678962792127399576859551349492788\
18944000000000000000000000*x^50+30444297579756637410202227051321598625940659\
4997948636800000000000000000000*x^48-136096790759016921661386974974356474413\
8357776784727040000000000000000000000*x^46+533979425415273782840500453969460\
8082652053793216518400000000000000000000000*x^44-183498596207335055366583627\
89199348400714897205879654400000000000000000000000*x^42+55098343562745762892\
769559780908572500276751027265095680000000000000000000000*x^40-1441655607621\
83391006497129416514421492480307630364467200000000000000000000000*x^38+32768\
5612865792272262154728283289938650003285580326400000000000000000000000000*x^\
36-6447594530432152902672591845630699601291639024477388800000000000000000000\
00000*x^34+10938221401216893572390723663155465138878722589003087360000000000\
00000000000000*x^32-15926968325899393694249093593846553550841319953096704000\
00000000000000000000000*x^30+19802321657157271438464866743027640360299854106\
06080000000000000000000000000000*x^28-20899785908473124177119077797680011607\
11662832230400000000000000000000000000000*x^26+18598853123350267053628025591\
04637356197810174976000000000000000000000000000000*x^24-13847663037067371394\
65382409150182812213347635200000000000000000000000000000000*x^22+85483385658\
3414518864104729958222662178645760000000000000000000000000000000000*x^20-432\
866624650060751202105021391878403675238400000000000000000000000000000000000*\
x^18+17749990542732178703226720782962688242704000000000000000000000000000000\
0000000*x^16-580132787498461942038657226062523360512000000000000000000000000\
00000000000000*x^14+14813029113550174977510237287497787520000000000000000000\
000000000000000000000*x^12-2878837909138517989893265471809139200000000000000\
000000000000000000000000000*x^10+4110669975278354645346634169192160000000000\
00000000000000000000000000000000*x^8-410082563372345354068160776704000000000\
00000000000000000000000000000000000*x^6+264472094902416311617359912000000000\
0000000000000000000000000000000000000*x^4-9613421598426141406317120000000000\
0000000000000000000000000000000000000*x^2+1430568690241985328321000000000000\
000000000000000000000000000000000000
Common denominator of the automorphisms:
2364098180215853772192614477041126502595313784342238273183845576616788331230\
5261342769087915135739025119324371513892321166472682703692579019463272473186\
0645117637613072199941269705776014783676856903435810585109039645524491262932\
5997068153430157266011118814276821683432474382429178371844515891338342797499\
0885102791749861136320830757098114672723138154768881644789668944346841032138\
1550862291887655621881065034142577592024544476145939993855874463357790566516\
8657847934455210526037449476837192010396366706796021795106851412436369536146\
5111482643105257267756085497135875588187633084543407902862418503906054316563\
6938351301334501864122571845806916573286857920026077909624094512076803641895\
3040598970463794078645369837592437148745805614511575742961713604110407903906\
0747310546823649271511353222674905548411904000000000000000000000000000000000\
00000000000000
Complex polynomial:
x^128+6720*x^126+20311200*x^124+36832320000*x^122+45123322624800*x^120+39889\
562872320000*x^118+26551366821776160000*x^116+13716181176211987200000*x^114+\
5627174325028390433880000*x^112+1867240499168723793408000000*x^110+508701584\
268080408569392000000*x^108+115211867883331851496771200000000*x^106+21921447\
700308279996417570984000000*x^104+3535515991204133969579842794240000000*x^10\
2+487018723561838633431168382894400000000*x^100+5767131504781463200250329443\
0528000000000*x^98+5903285671082424187454071991209421400000000*x^96+52479640\
4665597744533724210531060800000000000*x^94+406806360035943170426377616114340\
67200000000000*x^92+2759020916813671016996385525909317318400000000000*x^90+1\
64184104950627451759747409651352914857040000000000*x^88+85931336040069140253\
11004441323764376563200000000000*x^86+39634539925373965274123856096474618211\
3584000000000000*x^84+161361164928496168690752702927904340673888000000000000\
00*x^82+580618620983518437420279132598119869023491036000000000000*x^80+18483\
866157501832170641738406708261082076766720000000000000*x^78+5210050039604064\
24292488570129595489764559982400000000000000*x^76+13010159233410557740053187\
206174953813443447488000000000000000*x^74+2879239265245673424217612800057433\
67698178139458400000000000000*x^72+56483039053415551985797167944392101003063\
05408640000000000000000*x^70+98226797844822580024686850438460396662132824793\
440000000000000000*x^68+1514194799221388935156951785297119291721296155180800\
000000000000000*x^66+2068651624315303300314466212012263533106339877929409000\
0000000000000*x^64+250385281075522365661838943990975174065581517148470400000\
000000000000*x^62+2683837892489481032711560115895350911494081337905432000000\
000000000000*x^60+2546165988281313566623720453107747086885056612011264000000\
0000000000000*x^58+213648777115444480937696814720863617975411653543830064000\
000000000000000*x^56+1584295917818025027091196085528612052243950615346003200\
000000000000000000*x^54+1037207622351263946993059559883293166040650766724328\
3200000000000000000000*x^52+598804139042719678962792127399576859551349492788\
18944000000000000000000000*x^50+30444297579756637410202227051321598625940659\
4997948636800000000000000000000*x^48+136096790759016921661386974974356474413\
8357776784727040000000000000000000000*x^46+533979425415273782840500453969460\
8082652053793216518400000000000000000000000*x^44+183498596207335055366583627\
89199348400714897205879654400000000000000000000000*x^42+55098343562745762892\
769559780908572500276751027265095680000000000000000000000*x^40+1441655607621\
83391006497129416514421492480307630364467200000000000000000000000*x^38+32768\
5612865792272262154728283289938650003285580326400000000000000000000000000*x^\
36+6447594530432152902672591845630699601291639024477388800000000000000000000\
00000*x^34+10938221401216893572390723663155465138878722589003087360000000000\
00000000000000*x^32+15926968325899393694249093593846553550841319953096704000\
00000000000000000000000*x^30+19802321657157271438464866743027640360299854106\
06080000000000000000000000000000*x^28+20899785908473124177119077797680011607\
11662832230400000000000000000000000000000*x^26+18598853123350267053628025591\
04637356197810174976000000000000000000000000000000*x^24+13847663037067371394\
65382409150182812213347635200000000000000000000000000000000*x^22+85483385658\
3414518864104729958222662178645760000000000000000000000000000000000*x^20+432\
866624650060751202105021391878403675238400000000000000000000000000000000000*\
x^18+17749990542732178703226720782962688242704000000000000000000000000000000\
0000000*x^16+580132787498461942038657226062523360512000000000000000000000000\
00000000000000*x^14+14813029113550174977510237287497787520000000000000000000\
000000000000000000000*x^12+2878837909138517989893265471809139200000000000000\
000000000000000000000000000*x^10+4110669975278354645346634169192160000000000\
00000000000000000000000000000000*x^8+410082563372345354068160776704000000000\
00000000000000000000000000000000000*x^6+264472094902416311617359912000000000\
0000000000000000000000000000000000000*x^4+9613421598426141406317120000000000\
0000000000000000000000000000000000000*x^2+1430568690241985328321000000000000\
000000000000000000000000000000000000
Common denominator of the automorphisms:
2364098180215853772192614477041126502595313784342238273183845576616788331230\
5261342769087915135739025119324371513892321166472682703692579019463272473186\
0645117637613072199941269705776014783676856903435810585109039645524491262932\
5997068153430157266011118814276821683432474382429178371844515891338342797499\
0885102791749861136320830757098114672723138154768881644789668944346841032138\
1550862291887655621881065034142577592024544476145939993855874463357790566516\
8657847934455210526037449476837192010396366706796021795106851412436369536146\
5111482643105257267756085497135875588187633084543407902862418503906054316563\
6938351301334501864122571845806916573286857920026077909624094512076803641895\
3040598970463794078645369837592437148745805614511575742961713604110407903906\
0747310546823649271511353222674905548411904000000000000000000000000000000000\
00000000000000
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.